Consider a sector with angle #pi/3# radians, and radius #3.5 m#. What is the arc length and area?
1 Answer
Mar 2, 2017
Sector length
Area
Explanation:
The sector length when the angle is measured in radians is
# l = r theta #
So in this case:
# l = (3.5) * pi/3 #
# \ \= 3.66519 ... #
And the Area is given by:
# A = 1/2r^2 theta #
So in this case:
# A = 1/2 (3.5)^2 pi/3 #
# \ \ \ = 49/24 pi #
# \ \ \ = 6.414085 ... #
